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Autor:
Jack, Ian
We show that even $\zeta$-functions may be removed from the $\beta$-functions of general multi-coupling theories up to high loop order by means of coupling redefinitions. For theories whose $\beta$-function is determined by the anomalous dimensions o
Externí odkaz:
http://arxiv.org/abs/2407.09182
Results for $\beta$-functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each diagram following from supersymmetry are analysed. The results are use
Externí odkaz:
http://arxiv.org/abs/2301.10903
Autor:
Jack, Ian, Osborn, Hugh
For theories with multiple couplings the perturbative $\beta$-functions for scalar, Yukawa couplings are expressible in terms of contributions corresponding to one particle irreducible graphs and also contributions which are one particle reducible de
Externí odkaz:
http://arxiv.org/abs/1606.02571
Akademický článek
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The four-loop DRED gauge beta-function and fermion mass anomalous dimension for general gauge groups
Publikováno v:
JHEP 0709:058,2007
We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated using the di
Externí odkaz:
http://arxiv.org/abs/0707.3055
Publikováno v:
Journal of High Energy Physics; Feb2024, Vol. 2024 Issue 2, p1-75, 75p
Publikováno v:
Phys.Rev.D50:5481-5483,1994
It has been shown recently that the introduction of an unphysical $\epsilon$-scalar mass $\tilde{m}$ is necessary for the proper renormalization of softly broken supersymmetric theories by dimensional reduction ($\drbar$). In these theories, both the
Externí odkaz:
http://arxiv.org/abs/hep-ph/9407291